Atkin-Lehner |
2+ 3+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150f |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
172981127343750000 = 24 · 3 · 511 · 114 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19995525,-34423291875] |
[a1,a2,a3,a4,a6] |
j |
56585108666854310030929/11070792150000 |
j-invariant |
L |
0.57115713662572 |
L(r)(E,1)/r! |
Ω |
0.071394762644048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430h2 |
Quadratic twists by: 5 |